Holographic technicolor models and their S-parameter

We study the Peskin-Takeuchi S-parameter of holographic technicolor models. We present the recipe for computing the parameter in a generalized holographic setup. We then apply it to several holographic models that include: (a) the Sakai-Sugimoto model and (b) its non-compactified cousin, (c) a non-critical analog of (a) based on near extremal AdS ₆ background, (d) the KMMW model which is similar to model (a) but with D6 and anti-D6 flavor branes replacing the D8 and anti-D8 branes, (e) a model based on D5 branes compactified on two S ¹s with D7 and anti-D7 probe branes and (f) the conifold model with the same probe branes as in (e). The models are gravity duals of gauge theories with SU(N _TC) gauge theory and with a breakdown of a flavor symmetry U(N _TF) × U(N _TF) U _V(N _TF). The models (a), (c),(d) and (e) are duals of a confining gauge theories whereas (b) and (f) associate with non confining models. The S-parameter was found to be S=sN _TC where s is given by 0.017λ _TC, 0.016λ _TC, 0.095, 0.50 and 0.043 for the (a), (b), (c), (d), (f) models respectively and for model (e) s is divergent. These results are valid in the large N _TC and large λ _TC limit. We further derive the dependence of the S-parameter on the ''string endpoint" mass of the techniquarks for the various models. We compute the masses of the low lying vector technimesons.